Browsing by Supervisor "mashker"
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A Family of Cyclic Codes Over Finite Chain Rings
(the islamic university, 2008)Codes over flnite rings have received much attention recently after it was proved that important families of binary nonlinear codes are images under a Gray map of linear codes over Z4. A set of ntuples over a ring R is ... 
A Genaralization of 2Absorbing Subsemimodule Over Semirings
(الجامعة الإسلامية  غزة, 2017)Study Aims:the studyains at we study the 2absorbing subsemimodules, also we generalize this to the weakly 2absorbing subsemimodules. Research Methodology: Scientific Methodology The most important Conclusions: 1.We study ... 
Chinese Remainder Theorem and It’s Applications
(الجامعة الإسلامية  غزة, 2014)The Chinese Reminder Theorem is an ancient but important calculation algorithm in modular arithmetic. The Chinese Remainder Theorem enables one to solve simultaneous equations with respect to different moduli in considerable ... 
Compactly Packed Modules Over Noncommutative Rings
(الجامعة الإسلامية  غزة, 2016)Let R be an associative ring with identity and M be a unitary right Rmodule. A proper submodule N of M is compactly packed if for each family {Pα}α∈λ of prime submodules of M with N ⊆ Uα∈λ Pα, N ⊆ Pβ for some β ∈ λ. A ... 
Duadic Codes over Finite Commutative Rings
(الجامعة الإسلامية  غزة, 2014)Duadic codes are a generalization of quadratic residue codes. We obtain in this thesis quadratic residue codes over the chain ring F3+uF3; u2 = 0 and then obtain duadic codes for this ring. Also, we give a construction of ... 
Linear Block Codes over the Non Chain Ring Fp+ vFp + v2Fp
(الجامعة الإسلامية  غزة, 2015)Codes over finite rings have been studied in the early 1970. A great deal of attention has been given to codes over finite rings from 1990, because of their new role in algebraic coding theory and their successful application. ... 
Negacyclic and Constacyclic Codes Over Finite Chain Rings
(the islamic university, 2008)The negashift ν of Z4n is defined as the permeation of Z4n such that ν(a0, a1, ...., ai, ...., an1)= (an1, a0, ...., ai, ....an2) and negacyclic code of length n over Z4 is defined as a subset C of Z4n such that ν(C) ... 
On Codes over the Rings Fq + uFq + vFq + uvFq
(الجامعة الإسلامية  غزة, 2013)Codes over finite rings have been studied in the early 1970’s [4]. A great deal of attention has been given to codes over finite rings from 1990 [20], because of their new role in algebraic coding theory and their successful ... 
On Decoding of Quadratic Residue Codes
(the islamic university, 2010)A binary Quadratic Residue(QR) code of length n is an (n, (n+1)/2) cyclic code over GF(2m) with generator polynomial g(x) where m is some integer. The length of this code is a prime number of the form n = 8l + 1 where l ... 
On Even Length Codes Over Finite Rings
(the islamic university, 2010)Codes over finite rings have been studied in the early 1970. A great deal of attention has been given to codes over finite rings from 1990, because of their new role in algebraic coding theory and their successful application. ... 
On Linear Codes over F2 x F2
(the islamic university, 2007)A code of length n and size M consist of a set of M vectors of n components. The components being taken from some alphabet set S. So a code C is a set of ntuples subset of Sn. If S has a ring structure then C is called a ... 
On Primal Compactly Packed Modules
(الجامعة الإسلامية  غزة, 2013)Let R be a commutative ring with identity and let M be a unitary Rmodule. A proper submodule N of M is compactly packed if for each family {Pα}α∈Δ of prime submodules of M with N ⊆ Uα∈Δ Pα, N ⊆ Pβ for some β ∈ Δ. A module ... 
On Quadratic Residue Codes Over Finite Commutative Chain Rings
(الجامعة الإسلامية  غزة, 2014)Codes over finite rings were initiated in the early 1970s, And they have received much attention after it was proved that important families of binary nonlinear codes are images under a Gray map of linear codes over Z4. ... 
On φ  Classes of Modules
(الجامعة الإسلامية  غزة, 2015)Let R be a commutative ring with identity and let M be a unitary Rmodule. Let S(M) be the set of all submodules of M and φ :S(M)→ S(M) U{Ø} be a function. Let N be a proper submodule of M. We say that N is φprime submodule ... 
Skew Cyclic Codes Over Finite Rings
(الجامعة الإسلامية  غزة, 2014)In this thesis we study skew cyclic codes over finite rings. The thesis consists of three parts: In the first part we define skew cyclic codes, determine them over finite rings, and find the relationships between skew ...